7982940 has 96 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 1794816.

The previous prime is 7982927. The next prime is 7982941. The reversal of 7982940 is 492897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34746 + ... + 34974.

It is an arithmetic number, because the mean of its divisors is an integer number (270480).

Almost surely, 2^7982940 is an apocalyptic number.

7982940 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

7982940 is an abundant number, since it is smaller than the sum of its proper divisors (17983140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7982940 is a wasteful number, since it uses less digits than its factorization.

7982940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 7982940 is about 2825.4097048039. The cubic root of 7982940 is about 199.8577321566.

The spelling of 7982940 in words is "seven million, nine hundred eighty-two thousand, nine hundred forty".